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Finding the Third Proportional to 929,097 and 1,357,782.75

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Solution

The third proportional to 929,097 and 1,357,782.75 is: 1,984,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,097 : 1,357,782.75 = 1,357,782.75 : x
  2. Step 2: Convert to fraction form
    929,097/1,357,782.75 = 1,357,782.75/x
  3. Step 3: Cross multiply
    929,097x = 1,357,782.75 × 1,357,782.75
  4. Step 4: Simplify right side
    929,097x = 1,843,573,996,197.56
  5. Step 5: Solve for x
    x = 1,843,573,996,197.56/929,097
  6. Step 6: Final answer
    x = 1,984,264.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.